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Finding the Fourth Proportional to 3,560, 5,340 and 1,128

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Solution

The fourth proportional to 3,560, 5,340 and 1,128 is: 1,692

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560 : 5,340 = 1,128 : x
  2. Step 2: Convert to fraction form
    3,560/5,340 = 1,128/x
  3. Step 3: Cross multiply
    3,560x = 5,340 × 1,128
  4. Step 4: Simplify right side
    3,560x = 6,023,520
  5. Step 5: Solve for x
    x = 6,023,520/3,560
  6. Step 6: Final answer
    x = 1,692

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.